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40347072 = 263443181
BaseRepresentation
bin1001100111101…
…0010111000000
32210220211210000
42121322113000
540312101242
64000440000
7666641643
oct231722700
983824700
1040347072
1120858397
1211619000
13848880c
145503a5a
15381ea4c
hex267a5c0

40347072 has 140 divisors (see below), whose sum is σ = 123058936. Its totient is φ = 13063680.

The previous prime is 40347067. The next prime is 40347077. The reversal of 40347072 is 27074304.

It is an interprime number because it is at equal distance from previous prime (40347067) and next prime (40347077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40347077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222822 + ... + 223002.

Almost surely, 240347072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61529468).

40347072 is an abundant number, since it is smaller than the sum of its proper divisors (82711864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40347072 is a wasteful number, since it uses less digits than its factorization.

40347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 40347072 is about 6351.9345084785. The cubic root of 40347072 is about 342.9814834726.

The spelling of 40347072 in words is "forty million, three hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 181 192 216 258 288 324 344 362 387 432 516 543 576 648 688 724 774 864 1032 1086 1161 1296 1376 1448 1548 1629 1728 2064 2172 2322 2592 2752 2896 3096 3258 3483 4128 4344 4644 4887 5184 5792 6192 6516 6966 7783 8256 8688 9288 9774 11584 12384 13032 13932 14661 15566 17376 18576 19548 23349 24768 26064 27864 29322 31132 34752 37152 39096 46698 52128 55728 58644 62264 70047 74304 78192 93396 104256 111456 117288 124528 140094 156384 186792 210141 222912 234576 249056 280188 312768 373584 420282 469152 498112 560376 630423 747168 840564 938304 1120752 1260846 1494336 1681128 2241504 2521692 3362256 4483008 5043384 6724512 10086768 13449024 20173536 40347072